Maximum Product Spacings for the Kumaraswamy Distributions Based on Progressive Type-II Censoring Schemes

نوع المستند : تجاریة کل ما یتعلق بالعلوم التجاریة

المؤلفون

1 قسم الحصاء، كلية التجارة، جامعة الزقازيق

2 قسم الإحصاء والرياضة والتأمين، کلية التجارة، جامعة الزقازيق، مصر

3 قسم العلوم الأساسية، معهد العبور العالي للإدارة والمعلوماتية، العبور، القاهرة

المستخلص

The Type-II progressive censoring schemes of maximum product spacing will be discussed. In this paper, we have studied the problem of point estimation of the two parameters for the Kumaraswamy distribution based on progressive Type-II censoring. The maximum product spacing is used to estimate the model's parameters. To evaluate the performance of the point estimator, the simulation study is carried out. To illustrate the usefulness of the study in practice, a real data is used to study the performance of the estimation process under this progressive Type-II censoring scheme. In this paper, we have considered the problem of estimation of the unknown parameters for Kumaraswamy distribution under progressive Type-II censoring. We derived maximum product spacings estimates for the unknown parameters of a Kumaraswamy distribution. To illustrate the usefulness of the study in practice, a real data is used to study the performance of the estimation process under this progressive Type-II censoring scheme. In this paper, although we have mainly considered Type-II progressive censoring cases, the same method can be extended to other censoring schemes also.

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